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                又是nand                 </h1>
                <p>时间限制：20s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div>首先知道A nand B=not(A and B) （运算操作限制了数位位数为K）比如2 nand 3，K=3，则2 nand 3=not (2 and 3)=not 2=5。</div>
<div>给出一棵树，树上每个点都有点权，定义树上从a到b的费用为0与路径上的点的权值顺次nand的结果，例如：从2号点到5号点顺次经过2-&gt;3-&gt;5，权值分别为5、7、2，K=3，那么最终结果为0 nand 5 nand 7 nand 2=7 nand 7 nand 2=0 nand 2=7，现在这棵树需要支持以下操作。</div>
<div>① &nbsp; &nbsp;Replace a b:将点a（1&le;a&le;N）的权值改为b。</div>
<div>② &nbsp; &nbsp;Query a b:输出点a到点b的费用。</div>
<div>请众神给出一个程序支持这些操作。</div></p><hr/><h3>输入格式</h3><p><div>
<div>第一行N，M，K，树的节点数量、总操作个数和运算位数。</div>
<div>接下来一行N个数字，依次表示节点i的权值。</div>
<div>接下来N-1行，每行两个数字a,b（1&le;a,b&le;N）表示a,b间有一条树边。</div>
<div>接下来M行，每行一个操作，为以上2类操作之一。</div>
<div>N、M&le;100000，K&le;32</div>
</div></p><hr/><h3>输出格式</h3><p><p>对于操作②每个输出一行，如题目所述。</p></p><hr/><h3>样例输入</h3><pre>3 3 3
2 7 3 
1 2
2 3
Query 2 3
Replace 1 3
Query 1 1  
</pre><hr/><h3>样例输出</h3><pre>4
7
</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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